矩形夹层板的非线性磁弹性随机振动
Nonlinear random vibration of a rectangular sandwich plate in a magnetic field
查看参考文献20篇
文摘
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以表层较薄、夹心较软的四边简支矩形夹层板为研究对象,分析其在磁场环境中的非线性磁弹性随机振动问题。根据板壳磁弹性基本理论、夹层板的弯曲振动理论、连续体的随机振动理论,利用伽辽金积分法得到了在电磁场中受横向随机载荷作用时四边简支矩形夹层板的非线性磁弹性随机振动方程;并利用FPK方程法解出了四边简支矩形夹层板非线性随机振动位移响应和速度响应的方差、位移响应和速度响应的概率密度等多个数字特征。最后针对具体算例,通过数值模拟讨论了电磁参数、功率谱密度参数、板的几何尺寸的变化对各数字特征的影响。由数值模拟结果可知,调节随机激励、磁场强度、板的几何尺寸的大小能有效地控制结构随机振动产生振动位移的概率。 |
其他语种文摘
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This paper analyzes the nonlinear random vibration problem of a rectangular sandwich plate with thinner surface and softer sandwich simply supported at four edges in a magnetic field. According to the magneto-elasticity theory of plates and shells, the bending vibration theory of sandwich plate and the random vibration theory of continuum system, the nonlinear random vibration equations of a rectangular sandwich plate simply supported with transverse random loads in a magnetic field are obtained using the Galerkin's method. The numerical characters of the nonlinear random vibration of the sandwich plate, such as the variances and probability density of the displacement and the velocity response are calculated by FPK equation method. Finally, as a specific example, the effects of the changes in electromagnetic parameters, power spectral density parameters, and the geometric dimensions of the plate on the digital characteristics of the plate are discussed by numerical simulation. The simulation results indicate that the probability of the random vibration displacement can be effectively controlled by changing the random excitation, the intensity of the magnetic field and the plate geometry sizes. |
来源
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应用力学学报
,2015,32(3):359-365 【核心库】
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DOI
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10.11776/cjam.32.03.c018
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关键词
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磁弹性
;
非线性
;
随机振动
;
夹层板
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地址
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燕山大学, 秦皇岛, 066004
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语种
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中文 |
文献类型
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研究性论文 |
ISSN
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1000-4939 |
学科
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力学 |
基金
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河北省自然科学基金
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文献收藏号
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CSCD:5452190
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